Quem tem mais pontos, o círculo ou a reta?

• Autor(a) principal: Lima, Joaci Azevedo de
• Data de Publicação: 2017
• Tipo de documento: Trabalho de conclusão de curso
• Idioma: por
• Título da fonte: Repositório Institucional da UFRN
• Texto Completo: https://repositorio.ufrn.br/handle/123456789/36709
• topic: Bijeção.; Bijection.; Espaços vetoriais normados.; Normed vector spaces.; Homeomorfismos.; Homeomorphisms.; Espaços métricos.; Metric spaces.; Funções contínuas.; Continuous functions.; CNPQ::CIENCIAS EXATAS E DA TERRA

This paper aims to enunciate and demonstrate important peculiar results that occur in metric spaces. For this, it is used the bibliographical research, with which a study and survey was made on the metric spaces, sequences in metric spaces, vector spaces, normed vector spaces, continuous functions, and homeomorphisms. Therefore, from the structural concepts of the work, we conclude two results in the metric spaces: the stereographic projections in two and three dimensions. The first result relates the number of points in a circle with the number of points on the line, more precisely, the circle has one point more than the line. The second, analogous to the first, shows the sphere with one point more than the plane.